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Finding the Fourth Proportional to 1,312,413.82, 1,968,784.96 and 513,592.22

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Solution

The fourth proportional to 1,312,413.82, 1,968,784.96 and 513,592.22 is: 770,452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,413.82 : 1,968,784.96 = 513,592.22 : x
  2. Step 2: Convert to fraction form
    1,312,413.82/1,968,784.96 = 513,592.22/x
  3. Step 3: Cross multiply
    1,312,413.82x = 1,968,784.96 × 513,592.22
  4. Step 4: Simplify right side
    1,312,413.82x = 1,011,152,638,309.01
  5. Step 5: Solve for x
    x = 1,011,152,638,309.01/1,312,413.82
  6. Step 6: Final answer
    x = 770,452.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.